Question

(x²-5) (x+4) +24 simplify ​

Answer 1

Answer:

x cube +4x square -5x -20

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Answer 2

Answer:

Factoring  x2-5x-24  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  -24  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

     -24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3  

                    x2 - 8x + 3x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-8)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-8)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (x-8)

            Which is the desired factorization

Final result :

 (x + 3) • (x - 8)

Step-by-step explanation: